Osserman Manifolds in Semi-Riemannian Geometry

Häftad, Engelska, 2002

Del 1777 i serien Lecture Notes in Mathematics

391 kr

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Beskrivning

The subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry. The treatment is pitched at the intermediate graduate level and requires some intermediate knowledge of differential geometry. The notation is mostly coordinate-free and the terminology is that of modern differential geometry. Known results toward the complete proof of Riemannian Osserman conjecture are given and the Osserman conjecture in Lorentzian geometry is proved completely. Counterexamples to the Osserman conjuncture in generic semi-Riemannian signature are provided and properties of semi-Riemannian Osserman manifolds are investigated.

Produktinformation

Utgivningsdatum:2002-02-25
Mått:155 x 235 x 11 mm
Vikt:289 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:170
Upplaga:2002
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540431442

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Innehållsförteckning

The Osserman Conditions in Semi-Riemannian Geometry.- The Osserman Conjecture in Riemannian Geometry.- Lorentzian Osserman Manifolds.- Four-Dimensional Semi-Riemannian Osserman Manifolds with Metric Tensors of Signature (2,2).- Semi-Riemannian Osserman Manifolds.- Generalizations and Osserman-Related Conditions.

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